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Congruences for a restricted m-ary partition function

✍ Scribed by Laura L. Dolph; Annmarie Reynolds; James A. Sellers

Book ID
108315487
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
57 KB
Volume
219
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES

On m-ary Partition Function Congruences:
On m-ary Partition Function Congruences: A Fresh Look at a Past Problem
✍ Øystein J. RΓΈdseth; James A. Sellers πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 110 KB

Let b m (n) denote the number of partitions of n into powers of m. Define \_ r = = 2 m 2 += 3 m 3 + } } } += r m r , where = i =0 or 1 for each i. Moreover, let c r =1 if m is odd, and c r =2 r&1 if m is even. The main goal of this paper is to prove the congruence b m (m r+1 n&\_ r &m)#0 (mod m r Γ‚c